Calculating generators of power integral bases in pure sextic fields
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Publication:6491146
DOI10.7169/FACM/2111MaRDI QIDQ6491146
Publication date: 24 April 2024
Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)
Computer solution of Diophantine equations (11Y50) Algebraic numbers; rings of algebraic integers (11R04)
Cites Work
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- On the resolution of index form equations in sextic fields with an imaginary quadratic subfield
- Integral bases and monogenity of pure fields
- On power integral bases of certain pure number fields defined by \(x^{42}-m\)
- On the resolution of index form equations in quartic number fields
- KANT V4
- Computing elements of given index in totally complex cyclic sextic fields
- Simultaneous representation of integers by a pair of ternary quadratic forms -- with an application to index form equations in quartic number fields
- Explicit integral basis of pure sextic fields
- On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients
- On monogenity of certain pure number fields defined by \(x^{20}-m\)
- On the geometric determination of extensions of non-Archimedean absolute values
- On the resolution of relative Thue equations
- On certain pure sextic fields related to a problem of Hasse
- Binomial Thue equations and power integral bases in pure quartic fields
- Power integral bases for certain pure sextic fields
- Logarithmic forms and group varieties.
- Computing All Power Integral Bases of Cubic Fields
- Index form equations in quintic fields
- Index form equations in sextic fields: a hard computation
- Computing all power integral bases in orders of totally real cyclic sextic number fields
- Monogenity in totally complex sextic fields, revisited
- On power integral bases of certain pure number fields defined by $x^{3^r\cdot 7^s}-m$
- On power integral bases for certain pure number fields defined by x2r.5s−m
- On monogenity of certain pure number fields defined by xpr − m
- On Power Integral Bases for Certain Pure Number Fields Defined by x 36 − m
- Diophantine Equations and Power Integral Bases
- Calculating “Small” Solutions of Relative Thue Equations
- Newton polygons of higher order in algebraic number theory
- Computation of a power integral basis of a pure cubic number field
- On power integral bases for certain pure number fields defined by x24 – m
- On power integral bases for certain pure number fields defined by $x^{18}-m$
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